Question

6. If f(x) = 3x +3 and g(x)=-3+2x, find the rule of the function 2g(x)+2f(x).

Answer 1

`10x`

Solution:

If
`f(x) = 3x +3` and
`g(x) = -3 +2x`, then
`2g(x) +2f(x)` is:

`2(-3 +2x) +2(3x +3) \\ -6 +4x +6x +6 \\ (-6 +6) +(4 +6)x \\ 0 +10x \\ 10x`